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Simplifying 4(5h + -9) + -3 + -4(h) = 9(h + -11) Reorder the terms: 4(-9 + 5h) + -3 + -4(h) = 9(h + -11) (-9 * 4 + 5h * 4) + -3 + -4(h) = 9(h + -11) (-36 + 20h) + -3 + -4(h) = 9(h + -11) Reorder the terms: -36 + -3 + 20h + -4h = 9(h + -11) Combine like terms: -36 + -3 = -39 -39 + 20h + -4h = 9(h + -11) Combine like terms: 20h + -4h = 16h -39 + 16h = 9(h + -11) Reorder the terms: -39 + 16h = 9(-11 + h) -39 + 16h = (-11 * 9 + h * 9) -39 + 16h = (-99 + 9h) Solving -39 + 16h = -99 + 9h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-9h' to each side of the equation. -39 + 16h + -9h = -99 + 9h + -9h Combine like terms: 16h + -9h = 7h -39 + 7h = -99 + 9h + -9h Combine like terms: 9h + -9h = 0 -39 + 7h = -99 + 0 -39 + 7h = -99 Add '39' to each side of the equation. -39 + 39 + 7h = -99 + 39 Combine like terms: -39 + 39 = 0 0 + 7h = -99 + 39 7h = -99 + 39 Combine like terms: -99 + 39 = -60 7h = -60 Divide each side by '7'. h = -8.571428571 Simplifying h = -8.571428571
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